论文标题
线性铅笔和二次编程问题，具有二次约束
Linear pencils and quadratic programming problems with a quadratic constraint
论文作者
论文摘要
给定有界的自助接合运算符$ a $和$ b $作用于希尔伯特空间$ \ mathcal {h} $，考虑线性铅笔$ p（λ）= a+λb$，$λb$，$λ\ in \ mathbb {r} $。一组参数$λ$，使得$ p（λ）$是一个正（半）确定的运算符。这些结果应用于使用等于二次约束（或QP1EQC问题）的二次编程问题。
Given bounded selfadjoint operators $A$ and $B$ acting on a Hilbert space $\mathcal{H}$, consider the linear pencil $P(λ)=A+λB$, $λ\in\mathbb{R}$. The set of parameters $λ$ such that $P(λ)$ is a positive (semi)definite operator is characterized. These results are applied to solving a quadratic programming problem with an equality quadratic constraint (or a QP1EQC problem).
